0.2(2x+0.5)=5(0.5+(-2))

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Solution for 0.2(2x+0.5)=5(0.5+(-2)) equation: 


Simplifying
0.2(2x + 0.5) = 5(0.5 + (-2))

Reorder the terms:
0.2(0.5 + 2x) = 5(0.5 + (-2))
(0.5 * 0.2 + 2x * 0.2) = 5(0.5 + (-2))
(0.1 + 0.4x) = 5(0.5 + (-2))
0.1 + 0.4x = 5(0.5 + -2)

Combine like terms: 0.5 + -2 = -1.5
0.1 + 0.4x = 5(-1.5)

Multiply 5 * -1.5
0.1 + 0.4x = -7.5

Solving
0.1 + 0.4x = -7.5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.4x = -7.5 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.4x = -7.5 + -0.1
0.4x = -7.5 + -0.1

Combine like terms: -7.5 + -0.1 = -7.6
0.4x = -7.6

Divide each side by '0.4'.
x = -19

Simplifying
x = -19

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